2(z-4)+2-6z=-42

Solution for 2(z-4)+2-6z=-42 equation:

Simplifying
2(z + -4) + 2 + -6z = -42

Reorder the terms:
2(-4 + z) + 2 + -6z = -42
(-4 * 2 + z * 2) + 2 + -6z = -42
(-8 + 2z) + 2 + -6z = -42

Reorder the terms:
-8 + 2 + 2z + -6z = -42

Combine like terms: -8 + 2 = -6
-6 + 2z + -6z = -42

Combine like terms: 2z + -6z = -4z
-6 + -4z = -42

Solving
-6 + -4z = -42

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -4z = -42 + 6

Combine like terms: -6 + 6 = 0
0 + -4z = -42 + 6
-4z = -42 + 6

Combine like terms: -42 + 6 = -36
-4z = -36

Divide each side by '-4'.
z = 9

Simplifying
z = 9